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Finding the Fourth Proportional to 32,603.08, 48,875.28 and 11,812

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Solution

The fourth proportional to 32,603.08, 48,875.28 and 11,812 is: 17,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.08 : 48,875.28 = 11,812 : x
  2. Step 2: Convert to fraction form
    32,603.08/48,875.28 = 11,812/x
  3. Step 3: Cross multiply
    32,603.08x = 48,875.28 × 11,812
  4. Step 4: Simplify right side
    32,603.08x = 577,314,807.36
  5. Step 5: Solve for x
    x = 577,314,807.36/32,603.08
  6. Step 6: Final answer
    x = 17,707.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.